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GATE ECE 2010 | Question-28

If $\vec{A}=x y \hat{a}_{4}+x^{2} \hat{a}_{3}$, then $\oint_{c} \vec{A} \cdot d \vec{l}$ over the path shown in the figure is

  1. $0$
  2. $\frac{2}{\sqrt{3}}$
  3. $1$
  4. $2 \sqrt{3}$
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